Domains of discontinuity for almost-Fuchsian groups
An almost-Fuchsian group is a quasi-Fuchsian group such that the quotient hyperbolic manifold contains a closed incompressible minimal surface with principal curvatures contained in We show that the domain of discontinuity of an almost-Fuchsian group contains many balls of a fixed spherical radius i...
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
February 2017
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| In: |
Transactions of the American Mathematical Society
Year: 2017, Volume: 369, Issue: 2, Pages: 1291-1308 |
| ISSN: | 1088-6850 |
| DOI: | 10.1090/tran/6789 |
| Online Access: | Verlag, Volltext: http://dx.doi.org/10.1090/tran/6789
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| Author Notes: | Andrew Sanders |
| Summary: | An almost-Fuchsian group is a quasi-Fuchsian group such that the quotient hyperbolic manifold contains a closed incompressible minimal surface with principal curvatures contained in We show that the domain of discontinuity of an almost-Fuchsian group contains many balls of a fixed spherical radius in This yields a necessary condition for a quasi-Fuchsian group to be almost-Fuchsian which involves only conformal geometry. As an application, we prove that there are no doubly-degenerate geometric limits of almost-Fuchsian groups. |
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| Item Description: | Article electronically published on August 18, 2016 Gesehen am 03.05.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1088-6850 |
| DOI: | 10.1090/tran/6789 |